Question

-8+4(7+8x)=4x-6(1-x+4x)=-4

Answer 1

1. -8 + 4 ( 7 + 8х ) = 4х
-8 + 28 + 32х = 4х
32х - 4х = 8 - 28
28х = -20
х = (-20) ÷ 28
х = -20/28 = -5/7.
Ответ : х = -5/7.

2. -6 ( 1 - х + 4х ) = -4
-6 + 6х - 24х = -4
6х - 24х = -4 + 6
-18х = 2
х = -2/18 = -1/9.
Ответ : х = -1/9.

Удачи)))))

Answer 2

Let's solve the equations step by step:

1. -8 + 4(7 + 8x) = 4x - 6(1 - x + 4x) - 4

First, simplify both sides of the equation:

-8 + 28 + 32x = 4x - 6(1 - x + 4x) - 4

Combine like terms:

20 + 32x = 4x - 6(1 - x + 4x) - 4

2. Now, distribute the -6 on the right side of the equation:

20 + 32x = 4x - 6 + 6x - 24x - 4

3. Combine like terms again:

20 + 32x = -20x - 10

4. Move all the x terms to the left side of the equation and the constants to the right side:

32x + 20x = -10 - 20

52x = -30

5. Now, divide both sides by 52 to solve for x:

x = -30 / 52

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

x = -15 / 26

So, the solution to the equation is:

x = -15/26

Now, let's check this value in the second equation to ensure it's valid:

4x - 6(1 - x + 4x) = -4

Substitute the value of x:

4(-15/26) - 6(1 - (-15/26) + 4(-15/26)) = -4

Now, simplify and solve:

-60/26 + 6(26/26 + 15/26 - 60/26) = -4

-60/26 + 6(81/26 - 60/26) = -4

Now, simplify further:

-60/26 + 6(21/26) = -4

To get rid of fractions, you can multiply everything by 26 to get:

-60 + 6(21) = -104

Now, simplify:

-60 + 126 = -104

66 = -104

This equation does not hold true for the value of x we found earlier, which means that there is no solution to the system of equations as originally given.